- The task 1. System from 6 cores. An example 1. An example 2. To find efforts in cores. Answers to send in a text kind (in letter C216@yandex.ru) to 29.9.10 (Wednesday, 21.00) - 10 points. Accuracy - 3 signs after a comma. For example, in a kind: Ivanov A.I.task 1. Sab=56.457кН. One true answer 1 point, two - 2 etc., and all 6 - 10 points. In 21.00 29.9.10 on a site right answers after that term to send answers senselessly will be given. For errors while "minuses" we do not put. Be mistaken, correct errors, send decisions. Type points and be highly appreciated!
- The task 2. To find reactions of support (6 points - three answers). Answers to send in a text kind (in the letter) to 5.10.10 (Tuesday), 21.00. About reactions of support. An example 1, the Example 2. Each letter with an error (the quantity of errors in the letter is not considered) is estimated in (-1) a point. The number of minuses is not limited. Write at once correctly. The one who the first will send right answers, will receive +2 more points.
- The task 3. A friction качения. An example 1. An example 2 (swf from the Answer book). Examples 3 and 4. To find a balance condition (the maximum and minimum moment, two numbers). Values not necessarily whole. Calculate to 3 signs after a comma (the error in 0.001 says goodbye). Answers to send till 7.10.10 (Thursday, 16.00) - 10 points. The one who the first will send right answers, will receive +4 more points (the second +3, the third +2, the fourth +1). Each letter with an error (the quantity of errors in the letter is not considered) is estimated in (-1) a point. The number of minuses is not limited. Write at once correctly.
Problem difficult, use Maple, MathCad, etc.
- The task 4. A frame. An example. Answers to send to till 7.10.10 (Thursday, 16.00) - 10 points. Each letter with an error (the quantity of errors in the letter is not considered) is estimated in (-1) a point.
- The task 5. Kinematics. To find 4 angular speeds, 10 points for all 4 answers or on 2 for each right answer if the problem is not solved completely. Leaders are not awarded. Hold your horses! errors are considered under the former scheme (on-1 for each letter with errors). To cубботы, 16.10.10, 21.00.
Example of the decision 1.
Example 2.
It is possible to use the equations of a method of counts.
- The task 6
Example of the decision (1)
Example of the decision (2)
The program for the decision (1)
Kinematics. To find 4 angular speeds, 10 points for all 4 answers. For 3 days, till Sunday, 17.10.10, 21.00. All answers whole. A method of counts. Hold your horses! leaders in this problem are not awarded!
The program for the decision (2)
- The task 7. (10 points). The one who the first will give a right answer, will receive 4 more points in addition, the second +3 points, the third +2, the fourth +1. For 2 days, till Tuesday, 19.10.10, 21.00.
Example.
Maxim Dementyev's decision.
The program for the decision (1). For Maple 11/12/13/14
The program for the decision (2).
The plan of speeds
Rar - Attention! In system
Prometej (the password should be at everything, at me it is not present
if there are questions - address in administration Prometeja - Skvortsovoj
Tatyana Mihajlovne) are opened test Invariant,
etc. (in a self-examination mode).
Come on a site, replace the password (it easily to forge!). Can be trained
here.
Besides, we recommend examples:
Points for the test will be charged depending on from what time you will be tested. If with 1st, 8 points, with 2nd already 4 points, with 3rd only 2, further 1 point. The test on Wednesday, 28.10.10 at 21.00 will be closed.
- In system Prometej the test the Mechanism is opened. It is necessary to pass it till Wednesday, 3.11.10, 21.00. Conditions former (not to give answers at random). Examples of problems. To find speed of one of points. To solve by means of МЦ, the plan of speeds or counts as it is pleasant more. Answers to calculate to within 3х signs after a comma.
- The task 8. Kinetic energy. The resulted weights.
To find 5 weights (all whole), total weight. Answers to send till October, 31st, Sunday, (21.00) - 10 points. The first receives in addition +5, the second +4, the third +3. Errors on (-1) for each attempt, as usually.
Example 1.
Example 2.
Examples of conditions with answers It is recommended to esteem: the Center of weights. The inertia moments. Targ S.M., Nikolai E.L., Jablonskij A.A. - The task 9 on 10 points + 5 points for 1 place (4 - for the second, 3 for the third). Term - 3 days. To November, 21.00 3st (environment). Answers should be given to within 0.001. Not the whole! To take g=9.81.
Example of the decision 1
Example of the decision 2. Examples of the decision 3,4. Problems with answers for last years. -
The task 10 (the obligatory!) to issue in LaTeX, or (who is not able) - in MS Word or Open Office with use of the editor of formulas or in fields (EQ). Photos of manuscripts are not accepted. Not to use a format docx! Deadline - Wednesday, 17.11.10, 21.00. If in time - 12 points, every day (24 hours) delay (-1). It is possible even to type a negative number of points but if there is a desire to pass examination together with all - it is necessary to solve a problem all the same. For errors also points (on (-1)) as before are charged.
Requirements to the problem decision.- To give accurate drawing (it is better to copy from a condition *.pdf). In drawing to specify additional constructions, points, corners. To describe words necessary columns (with instructions of corners - from below from an arrow) to write down the corresponding equations and a course of their decision. For a sign on multiplication not to use *.
- Kinetic energy to express in the general form.
- To find generalised force Q.
- To write down Lagrang equation. Into the equation will enter A, B, Q. To transform, simplify, result similar members, etc. it is not obligatory. Mechanical models and Problem books on the theoretical mechanics with decisions in Maple 11, - Fizmatlit 2010 see. (Table of contents) or the Collection of examination problems on dynamics - MPEI, 2005.
Example 2.
Example 3.- Variants 1-2:
- Variants 3-4:
- Variants 5-6:
- Variants 7-9:
- Variants 10-11:
- Variants 12-16:
Speed of the solution - not the main thing! The main thing is correct from the first. Leaders on speed are not awarded. - Estimations
- Rating 1
- Rating 2. 28.10.10
